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Finding the Third Proportional to 378,469,189.13 and 553,335,193.69

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Solution

The third proportional to 378,469,189.13 and 553,335,193.69 is: 808,995,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,469,189.13 : 553,335,193.69 = 553,335,193.69 : x
  2. Step 2: Convert to fraction form
    378,469,189.13/553,335,193.69 = 553,335,193.69/x
  3. Step 3: Cross multiply
    378,469,189.13x = 553,335,193.69 × 553,335,193.69
  4. Step 4: Simplify right side
    378,469,189.13x = 306,179,836,573,183,168
  5. Step 5: Solve for x
    x = 306,179,836,573,183,168/378,469,189.13
  6. Step 6: Final answer
    x = 808,995,409.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.